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Euclid: more books (100)

Proclus: A Commentary on the First Book of Euclid's Elements by Proclus, 1992-10-19
The Doctrine of Proportion Clearly Developed: On a Comprehensive, Original, and Very Easy System; Or, the Fifth Book of Euclid Simplified by Oliver Byrne, 2010-03-05
The Data of Euclid: Translated from the Text of Menge
Euclid: The Great Geometer (The Library of Greek Philosophers) by Chris Hayhurst, 2006-02-03
Showplace of America: Cleveland's Euclid Avenue, 1850-1910 (Ohio) by Jan Cigliano, 1991-07
The Science Absolute of Space: Independent of the Truth or Falsity of Euclid's Axiom XI (Classic Reprint) by Janos Bolyai, 2010-04-08
After Euclid (Center for the Study of Language and Information - Lecture Notes) by Jesse Norman, 2006-06-01
Rider Papers On Euclid (Books I. and Ii.) by Rupert Deakin, 2010-01-10
The Elements of Euclid: Explain'd in a New, But Most Easie Method Together With the Use of Every Proposition Through All Parts of the Mathematicks. by Euclid., 2009-04-27
Euclid in Greek: Volume 1: Book I
Syllabus of Plane Geometry, Books 1-3, Corresponding to Euclid, Books 1-4. Corresponding to Euclid, Books 1-6 (bks. 1-6) by Mathematical Association, 2010-07-24
Euclid Golf Neighborhood (OH)(Images of America) by DeannaL.Bremer and Hugh P. Fisher, 2004-05-03
A Companion To Euclid: Being A Help To The Understanding And Remembering Of The First Four Books (1837) by A Graduate, 2010-05-22
An Introduction to Geometry, Consisting of Euclid's Elements, Book I, Accompanied by Numerous Explanations, Questions, and Exercises, by J. Walmsley. [With] Answers by Euclides, 2010-03-20

lists with details

10.8. Euclid (330?-275? B.C.)
Short sketch potrays him as one of the most influential and best read mathematicians of all time.
http://www.shu.edu/html/teaching/math/reals/history/euclid.html

Extractions: 10.8. Euclid (330?-275? B.C.) IRA Euclid is one of the most influential and best read mathematician of all time. His prize work, Elements , was the textbook of elementary geometry and logic up to the early twentieth century. For his work in the field, he is known as the father of geometry and is considered one of the great Greek mathematicians. Very little is known about the life of Euclid. Both the dates and places of his birth and death are unknown. It is believed that he was educated at Plato's academy in Athens and stayed there until he was invited by Ptolemy I to teach at his newly founded university in Alexandria. There, Euclid founded the school of mathematics and remained there for the rest of his life. As a teacher, he was probably one of the mentors to Archimedes Personally, all accounts of Euclid describe him as a kind, fair, patient man who quickly helped and praised the works of others. However, this did not stop him from engaging in sarcasm. One story relates that one of his students complained that he had no use for any of the mathematics he was learning. Euclid quickly called to his slave to give the boy a coin because "he must make gain out of what he learns." Another story relates that Ptolemy asked the mathematician if there was some easier way to learn geometry than by learning all the theorems. Euclid replied, "There is no royal road to geometry" and sent the king to study. Euclid's fame comes from his writings, especially his masterpiece
South Euclid, OH News - Topix.net
Local, regional, and statewide news collected from diverse sources on the web.
http://www.topix.net/city/south-euclid-oh

Extractions: Thursday, May 27, 2004 South Euclid, OH News change city Search Local Sports Cleveland Indians Detroit Tigers Cleveland Browns Columbus Blue Jackets ... Akron Aeros Local Resources South Euclid Directory Map of South Euclid Aerial Photo Movie Times ... Beachwood, OH Improve your site Add these news headlines to your website - The Chagrin Herald Sun (registration) - 6 hours ago - Martin Griffin Jr., 21, of Cleveland, was arrested for fleeing and eluding an officer and driving under suspension after a traffic stop Saturday at Caledonia Avenue and North Taylor ... See also: Cleveland First he stole shoes, then he stole socks
Euclid High School
Jim Poulson, Business Communication Elie Thomas, The Professional Path WilliamBaylis, Academy of the Humanities Tina Elliot, euclid Fine Preforming Arts
http://www.euclid.k12.oh.us/EHS/
History Of Mathematics - Table Of Contents
Topics include background in Babylonian, euclid, Al'Khwarizmi, pi, and trigonometry. Also has recreations and java chat.
http://members.aol.com/bbyars1/contents.html
Biography Of Euclid
Biography of euclid. Sv euclid Life and Works by Ivor BulmerThomas.Heath, Thomas L. The Thirteen Books of euclid s Elements, 2 vols.
http://www.lib.virginia.edu/science/parshall/euclid.html

Extractions: Euclid ( PORTRAIT - 58K ) lived in Alexandria, Egypt, around 300 B.C. After receiving his education, probably at Plato's Academy in Athens, or from some of Plato's students, Euclid became a teacher and scholar at the school in Alexandria known as the Museum. While there, he wrote his most influential work, the Elements Sample page - 322K ) In this treatise, consisting of thirteen books, Euclid compiled and systematically arranged many of the major mathematical results known in his day. Beginning with a list of definitions, postulates and axioms, he proved one proposition after another, basing each proof only on those results that had preceded it. This axiomatic method, as it is known today, served as the standard for scientific argumentation for later generations. Likewise, the content of the Elements , consisting of geometry and number theory, makes up part of the core of basic mathematics even today. TOP MAIN DOCUMENT CONTENTS FIRST MENTION To return to place in document from which you came, click on your browser's BACK BUTTON. Gillispie, Charles C. ed.
Euclid Masonic Lodge No.136 Hasbrouck Heights
Meets 1st and 3rd Friday, except July, August, legal holidays.
http://community.webtv.net/ljs-ahs/WELCOMETOEUCLID
Sample Page From Euclid's Elements
Sample Page from euclid s Elements. The scholium in the margin is one of thescholia Vaticana. Top of this Document Return to Biography of euclid.
http://www.lib.virginia.edu/science/parshall/elementsamp.html
Euclid's Elements
Welcome to the Platonic Solids as Demonstrated in Book Thirteen of euclid's Elements.
http://www.dform.com/projects/euclid/home.html
Information About Project Euclid
http://euclid.library.cornell.edu/project/
Euclid
Provides a detailed biography and related links.
http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Euclid.html

Extractions: Euclid of Alexandria is the most prominent mathematician of antiquity best known for his treatise on mathematics The Elements . The long lasting nature of The Elements must make Euclid the leading mathematics teacher of all time. However little is known of Euclid's life except that he taught at Alexandria in Egypt. Proclus , the last major Greek philosopher, who lived around 450 AD wrote (see [1] or [9] or many other sources):- Not much younger than these pupils of Plato is Euclid, who put together the "Elements", arranging in order many of Eudoxus 's theorems, perfecting many of Theaetetus 's, and also bringing to irrefutable demonstration the things which had been only loosely proved by his predecessors. This man lived in the time of the first Ptolemy; for Archimedes , who followed closely upon the first Ptolemy makes mention of Euclid, and further they say that Ptolemy once asked him if there were a shorted way to study geometry than the Elements, to which he replied that there was no royal road to geometry. He is therefore younger than Plato 's circle, but older than
Zentralblatt MATH - Search
News. Vols. 11025 in database. More than 2.000.000 entries.About 250.000 links to e-journals. Release info.
http://euclid.library.cornell.edu/ZMATH/
Firehouse.com Network: South Euclid Fire Dept
Presents overview of the department, personnel, and equipment.
http://departments.firehouse.com/dept/SouthEuclidOH/
FP5-EUCLID
euclid euclid is a Research Training Network funded by the EuropeanCommission s 5th Framework Improving Human Potential programme.
http://www-users.york.ac.uk/~ec9/fp5data.html

Extractions: EUCLID Integrable models and applications: from strings to condensed matter Euclid is a Research Training Network funded by the European Commission's 5th Framework Improving Human Potential programme. A copy of the network proposal is available . This provides details concerning the members of the collaboration together with a description of the proposed research and the training of young researchers. The network contract ( HPRN-CT-2002-00325 ) between the European Commission and network participants started on 1st October 2002 with a duration of 48 months. The detailed work plan is also available Vacancies Currently we have no vacancies. Postdocs appointed Conferences and schools pictures
Thabit
Gives information on background and contributions to noneuclidean geometry, spherical trigonometry, number theory and the field of statics. Was an important translator of Greek materials, including euclid's Elements, during the Middle Ages.
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Thabit.html

Extractions: Thabit ibn Qurra was a native of Harran and a member of the Sabian sect. The Sabian religious sect were star worshippers from Harran often confused with the Mandaeans (as they are in [1]). Of course being worshipers of the stars meant that there was strong motivation for the study of astronomy and the sect produced many quality astronomers and mathematicians. The sect, with strong Greek connections, had in earlier times adopted Greek culture, and it was common for members to speak Greek although after the conquest of the Sabians by Islam, they became Arabic speakers. There was another language spoken in southeastern Turkey, namely Syriac, which was based on the East Aramaic dialect of Edessa. This language was Thabit ibn Qurra's native language, but he was fluent in both Greek and Arabic. Some accounts say that Thabit was a money changer as a young man. This is quite possible but some historians do not agree. Certainly he inherited a large family fortune and must have come from a family of high standing in the community.
Loding...
Founded in 1999. Offers a selection of services, including web site design, development, ecommerce solutions, internet programming, consulting, database integration, web site promotions, web site hosting and provides contact information.
http://www.euclidsimaging.com/
Euclid's Algorithm
euclid s Algorithm. euclid s algorithm appears as the solution to theProposition VII.2 in the Element s Given two numbers not prime
http://www.cut-the-knot.org/blue/Euclid.shtml

Extractions: Recommend this site Euclid's algorithm appears as the solution to the Proposition VII.2 in the Element's: Given two numbers not prime to one another, to find their greatest common measure. The algorithm is based on the following two observations: gcd (a, b) = b. This is indeed so because no number (b, in particular) may have a divisor greater than the number itself (I am talking here of non-negative integers.) If a = bt + r, for integers t and r, then gcd(a, b) = gcd(b, r). Indeed, every common divisor of a and b also divides r. Thus gcd(a, b) divides r. But, of course, . Therefore, gcd(a, b) is a common divisor of b and r and hence gcd(a, b) gcd(b, r). The reverse is also true because every divisor of b and r also divides a. Let a = 2322, b = 654. gcd(2322, 654) = gcd(654, 360) gcd(654, 360) = gcd(360, 294) gcd(360, 294) = gcd(294, 66) gcd(294, 66) = gcd(66, 30) gcd(66, 30) = gcd(30, 6) gcd(30, 6) = 6 Therefore, gcd(2322,654) = 6. For any pair a and b, the algorithm is bound to terminate since every new step generates a similar problem (that of finding gcd) for a pair of smaller integers. Let Eulen(a,b) denote the length of the Euclidean algorithm for a pair a,b.
Cleveland.com: Everything Cleveland
Provides weekly news and job postings online.
http://www.cleveland.com/sun/euclidsunjournal/
Euclid's Algorithm
euclid s Game. The game is really very simple. It helps clarify the euclid salgorithm and the notion of the Greatest Common Divisor of two integers.
http://www.cut-the-knot.org/blue/EuclidAlg.shtml

Extractions: Recommend this site At the beginning of this simple game, the applet below displays a board with two numbers. At any time you can use the edit control to input a positive difference of any two numbers already present on the board. To do that, type in a number and press Enter. The loser is the player unable to make a move. If you wish the computer to move first, check the box "Please start". The game is really very simple. It helps clarify the Euclid's algorithm and the notion of the Greatest Common Divisor why? ). Therefore, the total number of integers that will be written on the board equals N/gcd(N,M). From here you may calculate whether it's preferable to start or let the computer make the first move. Chinese Remainder Theorem ... Euclid's Algorithm Alexander Bogomolny Assume the game is over - it's impossible to add a new difference. Let a be the smallest number present. Then the collection of the numbers on the board coincides with the set A of all multiples of a not exceeding the largest of M and N. The proof is very similar to the way we established a fundamental property of gcd.
Euclid
The Elements as a hypertext.
http://www.furman.edu/~jpoole/mth15hp/mathematicians/euclid.htm

Extractions: Using the text of Sir Thomas Heath's translation of The Elements , I have graphically glossed Books I - IV to produce a reader friendly version of Euclid's Plane Geometry. The four books contain 115 propositions which are logically developed from five postulates and five common notions . In the first proposition, Proposition 1, Book I, Euclid shows that, using only the postulates and common notions, it is possible to construct an equilateral triangle on a given straight line. In the hundred fifteenth proposition, Proposition 16, Book IV, he shows that it is possible to inscribe a regular 15-gon in a circle. And along the way he develops many beautiful, interesting, captivating, and pleasing results. You are invited to read this part of one of the world's great books. This presentation grew out of material developed for a mathematics course, Ideas in Mathematics , offered for liberal arts students at Furman. Every interested person, ninth grade student to ninety year old retiree, should be able to read most, if not all, of the material; that is the intended audience.
EUCLID, The Elements
euclid. euclid is known to almost every high school student as the author ofThe Elements, the long studied text on geometry and number theory. euclid.
http://www.math.tamu.edu/~don.allen/history/euclid/euclid.html

Extractions: EUCLID Euclid is known to almost every high school student as the author of The Elements , the long studied text on geometry and number theory. No other book except the Bible has been so widely translated and circulated. From the time it was written it was regarded as an extraordinary work and was studied by all mathematicians, even the greatest mathematician of antiquity Archimedes, and so it has been through the 23 centuries that have followed. It is unquestionably the best mathematics text ever written and is likely to remain so into the distant future. Euclid Little is known about Euclid , fl. 300BC, the author of The Elements . He taught and wrote at the Museum and Library at Alexandria, which was founded by Ptolemy I. Almost everything about him comes from Proclus' Commentary , 4th cent AD. He writes that Euclid collected Eudoxus' theorems, perfected many of Theaetetus', and completed fragmentary works left by others. Euclid is said to have said to the first Ptolemy who inquired if there was a shorter way to learn geometry than the Elements: ...there is no royal road to geometry

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